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A=r mod z R= a relation which is reflexive symmetric but not transitive

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Q: Give an example to a relation which is reflexive symmetric but not transitive?
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What is the difference between the transitive property and the reflexive property of congruence?

transitive means for example, "if a=b and b=c, then a=c". reflexive means for example, "a=a, b=b, c=c, etc."


What are equivalence relations?

An equivalence relation r on a set U is a relation that is symmetric (A r Bimplies B r A), reflexive (Ar A) and transitive (A rB and B r C implies Ar C). If these three properties are true for all elements A, B, and C in U, then r is a equivalence relation on U.For example, let U be the set of people that live in exactly 1 house. Let r be the relation on Usuch that A r B means that persons A and B live in the same house. Then ris symmetric since if A lives in the same house as B, then B lives in the same house as A. It is reflexive since A lives in the same house as him or herself. It is transitive, since if A lives in the same house as B, and B lives in the same house as C, then Alives in the same house as C. So among people who live in exactly one house, living together is an equivalence relation.The most well known equivalence relation is the familiar "equals" relationship.


What is an example of a transitive relationship?

A transitive relation is which objects of a similar nature are the same. An example is if a and b are the same, and if b and c are the same; then a and c are the same.


Example of sets having both reflexive and irreflexive relation?

when x is not an element of the set, it is both reflexive and irreflexive by vacuos truth


Is the empty set transitive?

Transitivity can be applied to relations between objects or sets - not to the sets themselves. For example, the relation "less-than" for real numbers, or the relation "is a subset of" for subsets, are both transitive. So is equality.


What does transitive mean in math terms?

Transitive Property (mathematics), property of a mathematical relation such that if the relation holds between a and b and between b and c, then it also exists between a and c. The equality relation, for example, is transitive because if a = b and b = c, then a = c. Other transitive relations include greater than (>), less than (<), greater than or equal to (?), and less than or equal to (?).


What does secar mean in spanish?

Translation: to dry (transitive) Example: I dried my clothes. = Sequé mi ropa. To make it reflexive (I dry myself) use "secarse".


Can you give me an example of the transitive verb rise?

Raise and Rise is the example of the transitive verb rise.


What does reflexive geometry mean?

its like same for example A=A that's reflexive


What is the definition of the term symmetric?

Symmetric is a term used to describe an object in size or shape. For example, you could say that an orange is symmetric to the sun or a glass is symmetric to a cone


Which property is shown in the following statement 46 plus 17 plus 3 equals 46 plus 17 plus 3?

The property that "equality" is a reflexive relation on the set of arithmetic statements. It is a property of a relation such that it is true for members of the set over which the relation is defined.The "less than" operator, for example, is not reflexive since "x < x" is not true.


Is an example of reflexive writing?

diary entry